Matrix Description of Wave Propagation and Polarization Quiz

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Microphotonics matrix formalisms describe a simple mathematical language for the description of complex optical systems in the ________ domain

frequency

The operation of optical systems is translated to ________-matrix multiplications

vector

ALL linear time-invariant passive optical systems can be described in the language of ________-matrix multiplication

vector

Vector-matrix multiplication is one of the most widely used tools for information processing in and

science, engineering Signup and view all the answers

There is a growing trend to build optical systems on a chip that perform vector-matrix ________

multiplication Signup and view all the answers

The intensity of a wave is proportional to the ________.

power density of the wave Signup and view all the answers

______ are represented as: $ abla \times \mathbf{H} = \frac{\partial\mathbf{D}}{\partial t}$ and $ abla \times \mathbf{E} = -\frac{\partial\mathbf{B}}{\partial t}$

Maxwell's equations in a medium with no free charges Signup and view all the answers

The constitutive law for the ______ ($\mathbf{D}$) is given by: $\mathbf{D} = \varepsilon\mathbf{E} + \mathbf{P}$

electric displacement field Signup and view all the answers

The ______, representing power density, is given by: $\mathbf{\mathbf{S}} = \mathbf{E} \times \mathbf{H}$

Poynting vector Signup and view all the answers

The phase relationship between the electric field ($\mathbf{E}$) and magnetic field ($\mathbf{H}$) in ______ is described by: $\mathbf{k} \perp \mathbf{E}_M \perp \mathbf{H}_M$

uniform linear media Signup and view all the answers

In the context of optical computing, the complex amplitude of a monochromatic wave is represented as:

Re{𝑎 𝒓 𝑒 "# 𝒓 𝑒 "}.%&' Signup and view all the answers

According to Maxwell's equations in a medium with no free charges, which of the following statements is true?

𝛻 ⋅ 𝑫* = 0 Signup and view all the answers

What are the solutions for the electric and magnetic fields in uniform linear media with dielectric constant 𝜀 and magnetic permeability µ?

𝑬 = 𝑬, 𝑒 -"𝒌⋅𝒓 +𝑬- 𝑒 "𝒌⋅𝒓, 𝑯 = 𝑯, 𝑒 -"𝒌⋅𝒓 +𝑯- 𝑒 "𝒌⋅𝒓 Signup and view all the answers

What is the phase relationship between E- and H-fields in orthogonal waveguide modes?

Opposite to the phase relationship between E+ and H+ Signup and view all the answers

What can be achieved by requiring the e and h mode fields to be normalized to unit power in lossless waveguides?

(1/√2) * (E x H) . Q dS = 1 [Watt] Signup and view all the answers

What is the primary purpose of the microphotonics matrix formalisms chapter?

To describe a simple mathematical language for the description of complex optical systems Signup and view all the answers

What can be concluded about the relevance of vector-matrix multiplication?

It is one of the most widely used tools for information processing in science and engineering Signup and view all the answers

How are ALL linear time-invariant passive optical systems described in the microphotonics matrix formalisms?

In the language of vector-matrix multiplication Signup and view all the answers

What is the phase relationship between the electric field ($ extbf{E}$) and magnetic field ($ extbf{H}$) in a specific scenario?

$ extbf{k} ot extbf{E}_M ot extbf{H}_M$ Signup and view all the answers

How are the constitutive law for the displacement field ($ extbf{D}$) and the representations for Maxwell's equations related?

$ extbf{D} = oldsymbol{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{}}}}}}}}}}}}}}oldsymbol{ar{E}} + extbf{P}$ and $abla imes extbf{H} = \frac{oldsymbol{ar{ar{ar{}}}}oldsymbol{ar{D}}}{oldsymbol{ar{ar{T}}}}$ Signup and view all the answers

Matrix Description of Wave Propagation and Polarization Quiz

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Questions and Answers

Microphotonics matrix formalisms describe a simple mathematical language for the description of complex optical systems in the ________ domain

The operation of optical systems is translated to ________-matrix multiplications

ALL linear time-invariant passive optical systems can be described in the language of ________-matrix multiplication

Vector-matrix multiplication is one of the most widely used tools for information processing in and

There is a growing trend to build optical systems on a chip that perform vector-matrix ________

The intensity of a wave is proportional to the ________.

______ are represented as: $ abla \times \mathbf{H} = \frac{\partial\mathbf{D}}{\partial t}$ and $ abla \times \mathbf{E} = -\frac{\partial\mathbf{B}}{\partial t}$

The constitutive law for the ______ ($\mathbf{D}$) is given by: $\mathbf{D} = \varepsilon\mathbf{E} + \mathbf{P}$

The ______, representing power density, is given by: $\mathbf{\mathbf{S}} = \mathbf{E} \times \mathbf{H}$

The phase relationship between the electric field ($\mathbf{E}$) and magnetic field ($\mathbf{H}$) in ______ is described by: $\mathbf{k} \perp \mathbf{E}_M \perp \mathbf{H}_M$

In the context of optical computing, the complex amplitude of a monochromatic wave is represented as:

According to Maxwell's equations in a medium with no free charges, which of the following statements is true?

What are the solutions for the electric and magnetic fields in uniform linear media with dielectric constant 𝜀 and magnetic permeability µ?

What is the phase relationship between E- and H-fields in orthogonal waveguide modes?

What can be achieved by requiring the e and h mode fields to be normalized to unit power in lossless waveguides?

What is the primary purpose of the microphotonics matrix formalisms chapter?

What can be concluded about the relevance of vector-matrix multiplication?

How are ALL linear time-invariant passive optical systems described in the microphotonics matrix formalisms?

What is the phase relationship between the electric field ($ extbf{E}$) and magnetic field ($ extbf{H}$) in a specific scenario?

How are the constitutive law for the displacement field ($ extbf{D}$) and the representations for Maxwell's equations related?

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Matrix Description of Wave Propagation and Polarization Quiz

Choose a study mode

Podcast

Questions and Answers

Microphotonics matrix formalisms describe a simple mathematical language for the description of complex optical systems in the ________ domain

The operation of optical systems is translated to ________-matrix multiplications

ALL linear time-invariant passive optical systems can be described in the language of ________-matrix multiplication

Vector-matrix multiplication is one of the most widely used tools for information processing in ________ and ________

There is a growing trend to build optical systems on a chip that perform vector-matrix ________

The intensity of a wave is proportional to the ________.

______ are represented as: $ abla \times \mathbf{H} = \frac{\partial\mathbf{D}}{\partial t}$ and $ abla \times \mathbf{E} = -\frac{\partial\mathbf{B}}{\partial t}$

The constitutive law for the ______ ($\mathbf{D}$) is given by: $\mathbf{D} = \varepsilon\mathbf{E} + \mathbf{P}$

The ______, representing power density, is given by: $\mathbf{\mathbf{S}} = \mathbf{E} \times \mathbf{H}$

The phase relationship between the electric field ($\mathbf{E}$) and magnetic field ($\mathbf{H}$) in ______ is described by: $\mathbf{k} \perp \mathbf{E}_M \perp \mathbf{H}_M$

In the context of optical computing, the complex amplitude of a monochromatic wave is represented as:

According to Maxwell's equations in a medium with no free charges, which of the following statements is true?

What are the solutions for the electric and magnetic fields in uniform linear media with dielectric constant 𝜀 and magnetic permeability µ?

What is the phase relationship between E- and H-fields in orthogonal waveguide modes?

What can be achieved by requiring the e and h mode fields to be normalized to unit power in lossless waveguides?

What is the primary purpose of the microphotonics matrix formalisms chapter?

What can be concluded about the relevance of vector-matrix multiplication?

How are ALL linear time-invariant passive optical systems described in the microphotonics matrix formalisms?

What is the phase relationship between the electric field ($ extbf{E}$) and magnetic field ($ extbf{H}$) in a specific scenario?

How are the constitutive law for the displacement field ($ extbf{D}$) and the representations for Maxwell's equations related?

Vector-matrix multiplication is one of the most widely used tools for information processing in and